ALGEBRA 2 Name:_________________________________ Date:_____________
Warm-Up:
1. Show that (3, 6) is a solution of:
๐ฆ = 2๐ฅ
4๐ฅ โ ๐ฆ = 6
Solving Linear Systems by Substitution: Steps
1. Solve one equation for either x or y.
2. Substitute the expression into the other equation and solve for the other variable.
3. Substitute the value from #2 into the revised equation from step #1 and solve.
4. Check the solution in each of the original equation.
Solve the following linear systems using the substitution method.
2. ๐ฆ = 2๐ฅ 3. 3๐ฅ + 2๐ฆ = 7
4๐ฅ โ ๐ฆ = 6 ๐ฅ โ 2๐ฆ = โ3
4. 2๐ฅ + ๐ฆ = 3 5. 2๐ฅ + 3๐ฆ = 4
3๐ฅ + ๐ฆ = 0 ๐ฅ + 2๐ฆ = 1
6. 3๐ฅ โ ๐ฆ = 5 7. ๐ฅ = 3๐ฆ + 2
4๐ฅ + 2๐ฆ = 10 ๐ฅ + 2๐ฆ = โ3
